Monte Carlo simulation of entropy-driven pattern formation in a two-dimensional system of rectangular particles

We simulated a random walk of rectangular particles on a square lattice with periodic boundary conditions. Two kinds of particles were investigated, viz., so-called "blind" and "myopic" particles. We found that steady state patterns occurred only for some values of the ratio Lx/L...

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Published inJournal of physics. Conference series Vol. 1163; no. 1; pp. 12007 - 12012
Main Authors Tarasevich, Yuri Yu, Eserkepov, Andrei V, Chirkova, Valentina V, Goltseva, Valeria A
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.02.2019
Subjects
Boundary conditions
Entropy of formation
Monte Carlo simulation
Random walk
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Summary:We simulated a random walk of rectangular particles on a square lattice with periodic boundary conditions. Two kinds of particles were investigated, viz., so-called "blind" and "myopic" particles. We found that steady state patterns occurred only for some values of the ratio Lx/Ly, where Lx and Ly are the linear sizes of the system, and only for "needles", i.e., the particles of size 1 × k. Different patterns were observed for "blind" and "myopic" particles.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1163/1/012007